Least Common Multiple of 7435 and 7441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7435 and 7441 the smallest integer that is 55323835 that is divisible by both numbers.

Least Common Multiple (LCM) of 7435 and 7441 is 55323835.

LCM(7435,7441) = 55323835

LCM of 7435 and 7441

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7435 and 7441

LCM of 7435 and 7441 is 55323835

Least common multiple can be found by multiplying the highest exponent prime factors of 7435 and 7441. First we will calculate the prime factors of 7435 and 7441.

Prime Factorization of 7435


5 7435
1487 1487
1

Prime factors of 7435 are 5,1487. Prime factorization of 7435 in exponential form is:

7435 = 51×14871

Prime Factorization of 7441


7 7441
1063 1063
1

Prime factors of 7441 are 7,1063. Prime factorization of 7441 in exponential form is:

7441 = 71×10631

Now multiplying the highest exponent prime factors to calculate the LCM of 7435 and 7441.

LCM(7435,7441) = 51×71×10631×14871
LCM(7435,7441) = 55323835

Factors of 7435

List of positive integer factors of 7435 that divides 7435 without a remainder.

1, 5, 1487, 7435

Factors of 7441

List of positive integer factors of 7441 that divides 7441 without a remainder.

1, 7, 1063, 7441

Least Common Multiple of 7435 and 7441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7435 and 7441, than apply into the LCM equation.

GCF(7435,7441) = 1
LCM(7435,7441) = ( 7435 × 7441) / 1
LCM(7435,7441) = 55323835 / 1
LCM(7435,7441) = 55323835

Properties of LCM 7435 and 7441

(i) The LCM of 7441 and 7435 is associative

LCM of 7435 and 7441 = LCM of 7441 and 7435

Related Least Common Multiples of 7435

Related Least Common Multiples of 7441

Frequently Asked Questions on LCM of 7435 and 7441

1. What is the LCM of 7435 and 7441?

Answer: LCM of 7435 and 7441 is 55323835.

2. What are the Factors of 7435?

Answer: Factors of 7435 are 1, 5, 1487, 7435. There are 4 integers that are factors of 7435. The greatest factor of 7435 is 7435.

3. What are the Factors of 7441?

Answer: Factors of 7441 are 1, 7, 1063, 7441. There are 4 integers that are factors of 7441. The greatest factor of 7441 is 7441.

4. How to Find the LCM of 7435 and 7441?

Answer:

Least Common Multiple of 7435 and 7441 = 55323835

Step 1: Find the prime factorization of 7435

7435 = 5 x 1487

Step 2: Find the prime factorization of 7441

7441 = 7 x 1063

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 55323835 = 5 x 7 x 1063 x 1487

Step 4: Therefore, the least common multiple of 7435 and 7441 is 55323835.